Used working steel 3/8" female quick connect to 3/8" NPT male pipe thread. H-style couplers are commonly used with larger tool applications requiring more SCFMs. Info from OEM 3/8" is larger than normal couplers, intended for high flow applications.
Milton S1838 H Style Plugs 3/8" Female NPT Steel Quick Release Plugs, Two Pack
(1 / 10) Milton 1839 PLUG, 1/4" Male NPT, H-Style, (3/8" Series) Free S&H
(1 / 10) Milton 1838 PLUG, 3/8" Female NPT, H-Style, (3/8" Series) Free S&H
(1/10) Milton 760-1 1/4" MNPT "V" Style HI-FLOW Steel Plug. Fast, Free S&H
(1/5) Milton 1815 Coupler, 1/2" Female NPT G-Style Air coupler, Free S&H
(1/5) Milton 1803 1/4" Female NPT P-Style Coupler, 68 CFPM, STEEL-Fast, Free S&H